Question

what is the distance of a point P(-5,6) from origin​

Answer 1

Step-by-step explanation:

distance

√(0+5)^2+(0-6)^2

√25+36

√61

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Answer 2

SOLUTION

TO DETERMINE

The distance of a point P(-5,6) from origin

CONCEPT TO BE IMPLEMENTED

For the given two points $\sf{A( x_1 , y_1) \: \: and \: \: B( x_2 , y_2)}$ the distance between the points

$= \sf{ \sqrt{ {(x_2 -x_1 )}^{2} + {(y_2 -y_1 )}^{2} } }$

EVALUATION

Here the given point is P( - 5, 6)

The origin is (0,0)

Hence the required distance of the point P(-5,6) from origin

$\sf = \sqrt{ {( - 5 - 0)}^{2} + {(6 - 0)}^{2} } \: \: unit$

$\sf = \sqrt{ {( - 5 )}^{2} + {(6 )}^{2} } \: \: unit$

$\sf = \sqrt{25 + 36 } \: \: unit$

$\sf = \sqrt{61 } \: \: unit$

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